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Estimation and Testing for a Markov Model of Reinforcement

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  • Paul D. Allison

    (Cornell University)

Abstract

The contagious Poisson process is a Markov process which has been used to represent the reinforcement of events. Standard methodsfor estimating and testing this model are shown to be generally inefficient and usually inconsistent. New methods making use of events counts from two or more adjacent intervals of time are proposed and illustrated. The model is also generalized to allow for initial heterogeneity.

Suggested Citation

  • Paul D. Allison, 1980. "Estimation and Testing for a Markov Model of Reinforcement," Sociological Methods & Research, , vol. 8(4), pages 434-453, May.
    • Handle: RePEc:sae:somere:v:8:y:1980:i:4:p:434-453
    DOI: 10.1177/004912418000800405
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    References listed on IDEAS

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    1. Herbert Sichel, 1951. "The estimation of the parameters of a negative binomial distribution with special reference to psychological data," Psychometrika, Springer;The Psychometric Society, vol. 16(1), pages 107-127, March.
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    Cited by:

    1. Wei, Jiuchang & Bu, Bing & Liang, Liang, 2012. "Estimating the diffusion models of crisis information in micro blog," Journal of Informetrics, Elsevier, vol. 6(4), pages 600-610.
    2. Kazuo Yamaguchi, 1989. "Log-quadratic models for the analysis of Guttman scales and their status correlates," Quality & Quantity: International Journal of Methodology, Springer, vol. 23(1), pages 21-38, February.

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